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Finding the Fourth Proportional to 6,413.24, 8,849.69 and 3,760.16

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Solution

The fourth proportional to 6,413.24, 8,849.69 and 3,760.16 is: 5,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.24 : 8,849.69 = 3,760.16 : x
  2. Step 2: Convert to fraction form
    6,413.24/8,849.69 = 3,760.16/x
  3. Step 3: Cross multiply
    6,413.24x = 8,849.69 × 3,760.16
  4. Step 4: Simplify right side
    6,413.24x = 33,276,201.40
  5. Step 5: Solve for x
    x = 33,276,201.40/6,413.24
  6. Step 6: Final answer
    x = 5,188.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.